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Finding the Fourth Proportional to 14,834.92, 20,470.96 and 8,461.48

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Solution

The fourth proportional to 14,834.92, 20,470.96 and 8,461.48 is: 11,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.92 : 20,470.96 = 8,461.48 : x
  2. Step 2: Convert to fraction form
    14,834.92/20,470.96 = 8,461.48/x
  3. Step 3: Cross multiply
    14,834.92x = 20,470.96 × 8,461.48
  4. Step 4: Simplify right side
    14,834.92x = 173,214,618.62
  5. Step 5: Solve for x
    x = 173,214,618.62/14,834.92
  6. Step 6: Final answer
    x = 11,676.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.